111002122122289 has 2 divisors, whose sum is σ = 111002122122290. Its totient is φ = 111002122122288.

The previous prime is 111002122122193. The next prime is 111002122122391. The reversal of 111002122122289 is 982221221200111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68059068043264 + 42943054079025 = 8249792^2 + 6553095^2 .

It is an emirp because it is prime and its reverse (982221221200111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111002122122289 is a prime.

It is a super-2 number, since 2×111002122122289² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111002122125289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501061061144 + 55501061061145.

It is an arithmetic number, because the mean of its divisors is an integer number (55501061061145).

Almost surely, 2^{111002122122289} is an apocalyptic number.

It is an amenable number.

111002122122289 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002122122289 is an equidigital number, since it uses as much as digits as its factorization.

111002122122289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 34.

The spelling of 111002122122289 in words is "one hundred eleven trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred eighty-nine".